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Matrices and Determinants question

2022 · 29 Jun · Shift 1 · Q27

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JEE Main
Mathematics
Matrices and Determinants
2022 · 29 Jun · Shift 1 · Q27

Matrices and Determinants question

2022 · 29 Jun · Shift 1 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = [{a_{ij}}]

be a square matrix of order 3 such that

{a_{ij}} = {2^{j - i}}

, for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ...... + A10 is equal to :

A
$\left( {{{{3^{10}} - 3} \over 2}} \right)A$
B
$\left( {{{{3^{10}} - 1} \over 2}} \right)A$
C
$\left( {{{{3^{10}} + 1} \over 2}} \right)A$
D
$\left( {{{{3^{10}} + 3} \over 2}} \right)A$

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